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Finding the Fourth Proportional to 2,696.12, 4,045.20 and 1,053.84

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Solution

The fourth proportional to 2,696.12, 4,045.20 and 1,053.84 is: 1,581.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.12 : 4,045.20 = 1,053.84 : x
  2. Step 2: Convert to fraction form
    2,696.12/4,045.20 = 1,053.84/x
  3. Step 3: Cross multiply
    2,696.12x = 4,045.20 × 1,053.84
  4. Step 4: Simplify right side
    2,696.12x = 4,262,993.57
  5. Step 5: Solve for x
    x = 4,262,993.57/2,696.12
  6. Step 6: Final answer
    x = 1,581.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.